Ask question

Ask question

All categories

4 years ago

10

a probability experiment consists of rolling a 6-sided die. find the probability of the event below. rolling a number less than

5

1 answer:

jeka57 [31]4 years ago

6 0

The probability of rolling a number less than 5 on a 6 sided die is 4/6 or 2/3 or 67%

You might be interested in

How many oz in 3/4 lbs

zubka84 [21]

Answer:

12 ounces-- hope this helps :))

Step-by-step explanation:

3 0

3 years ago

You roll a die. If an odd number comes up, you lose. If you get a 6, you win $60. If it is aneven number other than 6, you get t

vitfil [10]

Answer:

Step-by-step explanation:

Given that if an odd number comes up, you lose.

i.e. $P(losing) = P(1,3,5) = \frac{1}{2}$

$P(win 60) = P(6) =\frac{1}{6} \\$

If you get 2 or 4 you roll again

Thus rolling again prob = $\frac{2}{6} =\frac{1}{3}$

After rolling II time, if get 6, win otherwise lose.

Thus winning amounts A canbe

0 36 60

$P(0) = \frac{1}{2}+\frac{1}{3} (\frac{5}{6})=\frac{7}{9} \\P(36) = \frac{1}{3} (\frac{1}{6})=\frac{1}{18}\\P(60) =\frac{1}{6}$

This is a genuine pdf since prob >0 and total prob = 1.

b)Expected gain = sum of gain * prob = $\frac{7}{9} (0)+\frac{1}{18} (36)+\frac{1}{6} (60)\\=12$

Thus I would be willing to pay an amount atmost 12 dollars.

6 0

3 years ago

If a diameter intersects a chord of a circle at a perpendicular, what conclusion can be made?

Agata [3.3K]

If a diameter intersects a chord of a circle at a perpendicular then the chord is bisected.

<h3>What is the relation between the chord and diameter of a circle?</h3>

The segments of a circle whose endpoints are on its perimeter are called chords.
A circle's diameter is the chord that passes across its center.
The circle's longest chord equals its diameter.
Any line that is perpendicular to a chord on the circle cuts it in half and goes through the center.

The solution to the problem:

A circle's chord is intersected perpendicularly by its diameter, which also passes through the center of the circle. The chord and diameter are perpendicular. Any line that is perpendicular to a chord on the circle and passes through its center divides it. The chord is divided equally by the diameter.

Therefore, the chord is bisected.

Learn more about diameter and chord at: brainly.com/question/12934647

#SPJ4

7 0

2 years ago

37th term; a1 = 2.3; d = -2.3

Sindrei [870]

<u>Answer:</u>

37th term of given arithmetic sequence $a_1$ = 2.3; d = -2.3 is -80.5.

<u>Solution:</u>

Given that

Need to determine 37th term, when $a_1$ = 2.3, d = -2.3

Means first term of arithmetic sequence = $a_1$ = 2.3 and common difference d = -2.3

<u><em>Formula for nth term of arithmetic sequence is </em></u>

$\mathrm{a}_{\mathrm{n}}=\mathrm{a}_{1}+(\mathrm{n}-1) \mathrm{d}$ --- equation 1

$\text { In our case } a_{1}=2.3, d=-2.3$

We need to determine 37th term so n = 37.

On substituting given values in equation (1) we get

$\mathrm{a}_{37}=\mathrm{a}_{1}+(37-1) \mathrm{d}$

$\begin{array}{l}{\Rightarrow a_{37}=2.3+(37-1)(-2.3)} \\\\ {\Rightarrow a_{37}=2.3(1-36)=2.3 \times 35=-80.5}\end{array}$

Hence 37th term of given arithmetic sequence is -80.5

7 0

3 years ago

A farmer has an orchard that covers an area of 40 acres. He grows apples on 25 acres, peaches on 7 acres, nectarines on 5 acres,

ivanzaharov [21]

There are 25 acres of apple trees, and 40 acres total. Thus, the probability of him NOT finding an apple tree is 1 - (25/40) = 15/40 = 37.5% or the second choice.

7 0

3 years ago

Read 2 more answers